Calculating Force Needed to Push Water Through a Hose

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Discussion Overview

The discussion revolves around calculating the force required to push water through a hose, specifically focusing on pushing water vertically 40 cm through 5/16 inch tubing. Participants explore various approaches and formulas related to pressure and force in fluid dynamics.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant inquires about a formula for the force needed to push water through a hose.
  • Another participant suggests using Bernoulli's equation to find the pressure difference, noting that the velocity remains constant due to unchanged cross-sectional area.
  • A different participant emphasizes the need for velocity information to perform calculations, suggesting that the pressure calculation is left to the original poster.
  • One participant clarifies that they are not seeking a specific pressure but rather the minimum force required to push the water through the hose.
  • Another participant reiterates the relationship between force and pressure, indicating that finding pressure will lead to determining force.
  • A final suggestion is made to calculate the weight of a column of water with a 1 square meter area and 40 cm height to derive the answer in pascals.

Areas of Agreement / Disagreement

Participants express differing views on the necessary parameters for calculating the force, particularly regarding the importance of velocity and pressure. The discussion remains unresolved as no consensus is reached on a specific method or formula.

Contextual Notes

Some limitations include the lack of specific velocity information and the need for unit conversions. The discussion also depends on the assumptions made regarding the system's parameters.

Unlockitall
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I was wondering if someone could tell me a formula for how much force is required to push water through a hose. I am going to try to figure out how much force is needed to push water vertically 40 cm through 5/16 inch tubing.
 
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You will need to use Bernoulli's equation to find the difference in pressure at the two points. Note that the velocity at both points is the same as the cross sectional area does not change. After you have the difference in pressure, that will give you the "net pressure". Now remember that PA=F. Net pressure you calculated and area is just pi * r^2.

Just make sure to convert the units into meters before you plug the numbers in.
 
Without information about how much velocity you want, the only calculation we can do is with height. I'll leave that pressure calculation to you...you should try to figure it out on your own, but we can help if you get stuck.
 
Im not trying to get any particular pressure. All I am trying to find is the least amount needed to force the water through and up.
 
Unlockitall said:
Im not trying to get any particular pressure. All I am trying to find is the least amount needed to force the water through and up.

Remember, F/A = P.

So if you find the pressure, you will find the force.
 
Calculate the weight of a column of water 1 square meter in area and 40cm high and you'll have the answer (in pascals).
 

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